\begin{tikzpicture}
    \tkzDefPoints{0/0/P,  3/0/O,  4.5/0/M}
    \tkzDefPoint(15:5){E}
    \tkzDefPoint(-15:5){F}
    \tkzInterLC(P,E)(O,M)  \tkzGetPoints{B}{A}
    \tkzInterLC(P,F)(O,M)  \tkzGetPoints{C}{D}

    \tkzDrawSegments(P,E  P,F)
    \tkzDrawLine[add=0 and .8](P,O)
    \tkzDrawCircle(O,M)
    \tkzDrawPoint(O)
    \tkzMarkAngle[size=.6, arc=ll](F,P,O)
    \tkzMarkAngle[size=.8, arc=ll](O,P,E)

    \tkzLabelPoints[left](P)
    \tkzLabelPoints[right](E,F)
    \tkzLabelPoints[above](O)
    \tkzLabelPoints[above,xshift=-.3em](A)
    \tkzLabelPoints[above](B)
    \tkzLabelPoints[below,xshift=-.3em](C)
    \tkzLabelPoints[below](D)
\end{tikzpicture}

